A volume presentation of a fibered knot

DOI10.2748/TMJ.20230208MaRDI QIDQ6619631

Takayuki Morifuji, Hiroshi Goda

Publication date: 16 October 2024

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

zbMATH Keywords

figure-eight knothyperbolic volumeBell polynomialfibered knottwisted Alexander invariant

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Knot polynomials (57K14) Knot theory (57K10) Hyperbolic 3-manifolds (57K32)

Cites Work

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• Dynamics of twisted Alexander invariants
• Lifting representations to covering groups
• Twisted Alexander polynomial for finitely presentable groups
• Twisted Alexander invariants and hyperbolic volume
• Reidemeister torsion, twisted Alexander polynomial and fibered knots
• Torsion functions on moduli spaces in view of the cluster algebra
• Twisted Alexander polynomial and Reidemeister torsion
• Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
• The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
• A Survey of Twisted Alexander Polynomials
• Volume Conjecture for Knots
• Fibred knots and twisted Alexander invariants
• The Curious History of Faa di Bruno's Formula
• Twisted Alexander Polynomials of Hyperbolic Knots
• Poincaré duality and degrees of twisted Alexander polynomials
• Asymptotics of twisted Alexander polynomials and hyperbolic volume
• Analytic Torsion and R-Torsion for Unimodular Representations
• Twisted Alexander polynomials, chirality, and local deformations of hyperbolic 3-cone-manifolds
• An algebraic property of Reidemeister torsion

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